2.1142   ODE No. 1142

1. Problem in Latex
2. Mathematica input
3. Maple input

$$cy(x)\sqrt[5]{ax+b}+5(ax+b)y^{″}(x)+8a{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0491403 (sec), leaf count = 108

$$\left\{\{y(x)\to \frac{3a{c}_2\sin \left(\frac{\sqrt{5}\sqrt{c}(ax+b{)}^{3/5}}{3a}\right)}{\sqrt{5}\sqrt{c}(ax+b{)}^{3/5}}+\frac{6a{c}_1\cos \left(\frac{\sqrt{5}\sqrt{c}(ax+b{)}^{3/5}}{3a}\right)}{\sqrt{5}\sqrt{c}(ax+b{)}^{3/5}}\}\right\}$$

✓ Maple : cpu = 0.096 (sec), leaf count = 59

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sinh \left(\frac{1}{3a}{(ax+b)}^{\frac{3}{5}}\sqrt{-5c}\right){(ax+b)}^{-\frac{3}{5}}+\mathit{\_}\mathit{C}\mathit{2}\cosh \left(\frac{1}{3a}{(ax+b)}^{\frac{3}{5}}\sqrt{-5c}\right){(ax+b)}^{-\frac{3}{5}}\}$$